Not at all. Jewish customs (what you refer to as 'Jewish heritage') are not part of the gospel of grace, and falling away from Christ can only be a fall from grace, not from any peripherals like Jewish traditions or customs.
I would suggest reading Paul's epistle to the Galatians. In it, he argues that the Gentiles are not to be held to the Law any more than post-Resurrection Jewish Christians are. For example, Peter regularly ate with Gentiles according to Galatians 2, which is contrary to Jewish traditions--one is not even to set foot in the home of a Gentile if one is Jewish.
I am not saying that I want to be bound by the law...far from it. But Christianity that decries Jewish heritage is like...Coffee Mate without coffee.